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Finding the Third Proportional to 136,046.25 and 317,690.16

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Solution

The third proportional to 136,046.25 and 317,690.16 is: 741,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,046.25 : 317,690.16 = 317,690.16 : x
  2. Step 2: Convert to fraction form
    136,046.25/317,690.16 = 317,690.16/x
  3. Step 3: Cross multiply
    136,046.25x = 317,690.16 × 317,690.16
  4. Step 4: Simplify right side
    136,046.25x = 100,927,035,378.15
  5. Step 5: Solve for x
    x = 100,927,035,378.15/136,046.25
  6. Step 6: Final answer
    x = 741,858.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.